Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta)).

Question

Question

Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta)).

Topic

Angle between two polar curves

Problems

  1. Find the angle between the pair of curves r=6cos(theta) & r=2(1+cos(theta))
  2. Find angle between the curves r=a/ (1+cos(theta)) and r=b/ (1-cos(theta))
  3. Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta))
  4. Find the angle between the curves r^2 sin(2theta)=4 and r^2=16 sin(2theta)
  5. Find the angle between the polar curves r=a(1-cos(theta)) and r=b(1+cos(theta))
  6. Show that the curves r^n=a^n cos(n theta) and r^n=b^n sin(n theta) intersect orthogonally.
  7. Find the angle between the two curves r=sin(theta)+cos(theta) and r=2sin(theta)
  8. Find the angle between the two curves r=a sec^2(theta/2) and r=acosec^2(theta/2)

 

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